Error Bound for Conic Inequality in Hilbert Spaces
Jiangxing Zhu, Qinghai He, Jinchuan Lin · Abstract and Applied Analysis · 2014
We consider error bound issue for conic inequalities in Hilbert spaces. In terms of proximal subdifferentials of vector-valued functions, we provide sufficient conditions for the existence of a local error bound for a conic inequality. In the Hilbert space case, our result improves and extends some existing results on local error bounds.